Frequentist analyses of solar neutrino data

Journal of High Energy Physics

Volumn 5, Issue 5, 2001, Pages

  Creminelli, Paolo ^a,b   Signorelli, Giovanni ^c   Strumia, Alessandro ^c  

^a INFN SEZIONE DI PISA   (Italy)

^b CERN   (Switzerland)

^c UNIVERSITY OF PISA   (Italy)

Author keywords

Beyond standard model; Neutrino physics; Standard model

Indexed keywords

EID: 33744775047     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/05/052     Document Type: Article

References (40)

1. The results of the Homestake experiment are reported in K. Lande, T. Daily, R. Davis, J.R. Distel, B.T. Clevland, C.K. Lee, P.S. Wildenhain and J. Ullman, Measurement of the solar electron neutrino flux with the Homestake Chlorine detector, Astrophys. J. 496 (1998) 505.
2. SUPER.KAMIOKANDE collaboration, Measurement of the solar neutrino energy spectrum using neutrino electron scattering, Phys. Rev. Lett. 82 (1999) 2430 [hep-ex/981201l];
3. Solar neutrino results from Super-Kamiokande, Nucl. Phys. 77 (Proc. Suppl.) (1999) 35;
4. Neutrino oscillations at Super-Kamiokande, Nucl. Phys. 81 (Proc. Suppl.) (2000) 133;
5. New data recently presented in SUPER-KAMIOKANDE collaboration, Constraints on neutrino oscillations using 1258 days of Super-Kamiokande solar neutrino data, hep-ex/0103033 (after 1258 days of data taking) do not present significant differences with respect to the ones employed in our fit (1117 days)
6. GALLEX collaboration, Gallex solar neutrino observations: results for Gallex IV, Phys. Lett. B 447 (1999) 127;
7. SAGE collaboration, Measurement of the solar neutrino capture rate with gallium metal, Phys. Rev. C 60 (1999) 055801 [astro-ph/9907113].
8. Talks by E. Bellotti, V. Gavrin and Y. Suzuki at the conference Neutrino 2000, Sudbury, Canada, June 2000.
9. J.N. Bahcall, S. Basu and M.H. Pinsonneault, How uncertain are solar neutrino predictions?, Phys. Lett. B 433 (1998) 1 [astro-ph/9805135];
10. Solar models: current epoch and time dependences, neutrinos, and helioseismological properties, astro-ph/0010346 and references therein.
11. L. Wolfenstein, Neutrino oscillations in matter, Phys. Rev. D 17 (1978) 2369;
12. S.P. Mikheyev and A.Yu. Smirnov, Resonance amplification of oscillations in matter and spectroscopy of solar neutrinos, Sov. J. Nucl. Phys. 42 (1986) 913.
13. S. Parke, Nonadiabatic level crossing in resonant neutrino oscillations, Phys. Rev. Lett. 57 (1986) 1275;
14. P. Pizzochero, Nonadiabatic level crossing in neutrino oscillations for an exponential solar density profile, Phys. Rev. D 36 (1987) 2293;
15. S.T. Petcov, Exact analytic description of two neutrino oscillations in matter with exponentially varying density, Phys. Lett. B 200 (1998) 373;
16. for a review see T.K. Kuo, J. Pantaleone, Neutrino oscillations in matter, Rev. Mod. Phys. 61 (1989) 937.
17. J.N. Bahcall, http://www.sns.ias.edu/jnb.
18. G.L. Fogli and E. Lisi, Standard solar model uncertainties and their correlations in the analysis of the solar neutrino problem, Astropart. Phys. 3 (1995) 185.
19. There is an enormous amount of literature, much of it written by people who are fervent advocates of one or the other approach. For a reasonably balanced discussion, see e.g. G. D'Agostini, CERN 'yellow' report 99-03, available at www.cern.ch (for a presentation of the bayesian approach) and recent editions of the Particle Data Group, available at pdg.lbl.gov (for a presentation of the frequentist approach).
20. J. Neyman, Outline of a theory of statistical estimation based on the classical theory of probability, Philos. Trans. R. Soc. London A236 (1937) 333.
21. E.L. Crow, R.S. Gardner, Biometrika 46 (1959) 441.
22. G.J. Feldman and R.D. Cousins, A unified approach to the classical statistical analysis of small signals, Phys. Rev. D 57 (3873) 1998 [physics/9711021]
23. the FeldmanCousins ordering was implicit in A. Stuart and J.K. Ord, Kendall's Advanced Theory of Statistics, Vol. 2, Classical inference and relationship 5th ed., Oxford University Press, New York, 1991;
24. see also earlier editions by Kendall and Stuart, sec. 23.1.
25. M.V. Garzelli and C. Giunti, A frequentist analysis of solar neutrino data, hep-ph/0007155.
26. CHOOZ collaboration, Limits on neutrino oscillations from the CHOOZ experiment, Phys. Lett. B 466 (1999) 415 [hep-ex/9907037];
27. see also F. Boehm et al., Search for neutrino oscillations at the Polo Verde nuclear reactors, Phys. Rev. Lett. 84 (3764) 2000 [hep-ex/9912050].
28. The LSND collaboration, Evidence for neutrino oscillations from muon decay at rest, Phys. Rev. C 54 (1996) 2685 [nucl-ex/9605001];
29. e oscillations from pion decay in flight neutrinos, Phys. Rev. C 58 (1998) 2489 [nucl-ex/9706006].
30. BuGEY collaboration, Search for neutrino oscillations at 15-meters, 40-meters, and 95-meters from a nuclear power reactor at Bugey, Nucl. Phys. B 434 (1995) 503.
31. KARMEN collaboration, Latest results of the Karmen2 experiment, Nucl. Phys. 91 (Proc. Suppl.) (2000) 191 [hep-ex/0008002].
32. SUPER-KAMIOKANDE collaboration, Tau neutrinos favored over sterile neutrinos in atmospheric muon neutrino oscillations, Phys. Rev. Lett. 85 (3999) 2000 [hep-ex/0009001].
33. W.T. Eadie et al., Statistical methods in experimental physics, Amsterdam, 1971. [21] G. Punzi, A stronger classical definition of confidence limits, hep-ex/9912048.
34. G.L. Fogli, E. Lisi, D. Montanino and A. Palazzo, Day-night asymmetry of high and low energy solar neutrino events in Super-Kamiokande and in the sudbury neutrino observatory, Phys. Rev. D 62 (2000) 113003 [hep-ph/0008012].
35. M.C. Gonzalez-Garcia and C. Peña-Garay, Global and unified analysis of solar neutrino data, Nucl. Phys. 91 (Proc. Suppl.) (2000) 80 [hep-ph/0009041].
36. R. Barbieri and A. Strumia, Non standard analysis of the solar neutrino anomaly, J. High Energy Phys. 12 (2000) 016 [hep-ph/0011307].
37. A.M. Dziewonski and D.L. Anderson, Preliminary reference earth model, Phys. Earth Planet. Interior 25 (1981) 207.
38. J.N. Bahcall and E. Lisi, Tests of electron flavor conservation with the sudbury neutrino observatory, Phys. Rev. D 54 (1996) 5417 [hep-ph/9607433].
39. M.C. Gonzalez-Garcia, M. Maltoni, C. Peña-Garay and J.W. F. Valle, Global threeneutrino oscillation analysis of neutrino data, Phys. Rev. D 63 (2001) 033005 [hep-ph/0009350].
40. SUPER-KAMIOKANDE collaboration, private communication.